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Finding the Fourth Proportional to 523,054.72, 784,582.08 and 149,068

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Solution

The fourth proportional to 523,054.72, 784,582.08 and 149,068 is: 223,602

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,054.72 : 784,582.08 = 149,068 : x
  2. Step 2: Convert to fraction form
    523,054.72/784,582.08 = 149,068/x
  3. Step 3: Cross multiply
    523,054.72x = 784,582.08 × 149,068
  4. Step 4: Simplify right side
    523,054.72x = 116,956,081,501.44
  5. Step 5: Solve for x
    x = 116,956,081,501.44/523,054.72
  6. Step 6: Final answer
    x = 223,602

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.